264622080 has 208 divisors, whose sum is σ = 872832960. Its totient is φ = 68419584.

The previous prime is 264622073. The next prime is 264622081. The reversal of 264622080 is 80226462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264622081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3624924 + ... + 3624996.

Almost surely, 2^264622080 is an apocalyptic number.

264622080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436416480).

264622080 is an abundant number, since it is smaller than the sum of its proper divisors (608210880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264622080 is an equidigital number, since it uses as much as digits as its factorization.

264622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 264622080 is about 16267.2087341375. The cubic root of 264622080 is about 642.0103452298.

The spelling of 264622080 in words is "two hundred sixty-four million, six hundred twenty-two thousand, eighty".